Adjective/noun for a situation that cannot be solved? [duplicate]

I will not bandy with thee word for word ... this dilemma is often referred to as a "double bind".

double bind noun:

a situation in which a person is confronted with two irreconcilable demands or a choice between two undesirable courses of action. See, Google.com double bind

Do thou but call my resolution wise, And with this knife I’ll help it presently.